Answer:
∠ ABC ≈ 137.9°
Step-by-step explanation:
Using the Cosine rule in Δ ABC
cos B = 
with a = 89, b = 144, c = 65
cos B = 
= 
= 
, thus
B = 
( - 
) ≈ 137.9° ( to the nearest tenth )
The answer to your question is option b
Answer:
Step-by-step explanation:
Given the simultaneous equation
3x+4y=15. Equation 1
3x-y=30. Equation 2
Using elimination method
Sutract equation 2 from 1
Then, will have
3x-3x+4y--y=15-50. -×-=+
4y+y=-15
5y=-15
Divide Both sides by 5
y=-15/5
y=-3
From equation 2
3x-y=30
3x--3=30
3x+3=30
3x=30-3
3x=27
Divide both side by 3
x=27/3
x=9
Then, x=9 and y=-3
<span>Part A: M = 12x. (x hours at the rate of $12/per hour)
Part B: T = 12 * 30 + 15y. ( 30 hours per week at the rate of $12 per
hour plus y hours at the rate of $15 per hour)
Part C: Let us first find out the amount earned through regular working hours and overtime hours.
Regular hours in a week is 30 at the rate of $12 per hour. It comes to 12*30 = $360
The remaining amount, 510-360 = 150, is earned through overtime. Overtime rate is $15 per hour. So the number of hours worked overtime = 150/15 = 10
Total hours worked during the week = 30 + 10 = 40.</span>
If he has a measuring cup that holds 1/8 and not 1/4 he just has to dip it twice.
